3320120320 has 176 divisors, whose sum is σ = 8765221248. Its totient is φ = 1196687360.

The previous prime is 3320120273. The next prime is 3320120327. The reversal of 3320120320 is 230210233.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×3320120320² = 22046397878553804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3320120294 and 3320120303.

It is not an unprimeable number, because it can be changed into a prime (3320120327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9405264 + ... + 9405616.

Almost surely, 2^3320120320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382610624).

3320120320 is an abundant number, since it is smaller than the sum of its proper divisors (5445100928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3320120320 is a wasteful number, since it uses less digits than its factorization.

3320120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3320120320 is about 57620.4852461345. The cubic root of 3320120320 is about 1491.8252064707.

Adding to 3320120320 its reverse (230210233), we get a palindrome (3550330553).

The spelling of 3320120320 in words is "three billion, three hundred twenty million, one hundred twenty thousand, three hundred twenty".